87393496660164 has 144 divisors (see below), whose sum is σ = 236593711972800. Its totient is φ = 27120443784192.

The previous prime is 87393496660159. The next prime is 87393496660181. The reversal of 87393496660164 is 46106669439378.

It is a super-3 number, since 3×87393496660164³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87393496660092 and 87393496660101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5519112 + ... + 14326464.

It is an arithmetic number, because the mean of its divisors is an integer number (1643011888700).

Almost surely, 2^{87393496660164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87393496660164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118296855986400).

87393496660164 is an abundant number, since it is smaller than the sum of its proper divisors (149200215312636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87393496660164 is a wasteful number, since it uses less digits than its factorization.

87393496660164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8807634 (or 8807629 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 87393496660164 in words is "eighty-seven trillion, three hundred ninety-three billion, four hundred ninety-six million, six hundred sixty thousand, one hundred sixty-four".